Question

Find the area of the figure. Round your answer to the nearest tenth.

Answer 1

Answer:

11.5 m^2

Step-by-step explanation:

The area of a parallelogram is base * height, so you have to find the height.

You can see on the left there's a 30 - 60 - 90 triangle with a hypotenuse of 4. Using the proportion rule, you know that the 2nd side is 4/$\sqrt{3}$ = $4\sqrt{3}/3$.

Then, find the area, so do base * height = 5 * $4\sqrt{3} /3$ = $20\sqrt{3}/3$.

Put this in a calculator and you get: 11.5 m^2